Question
Download Solution PDFΔABC में AB = 8 सेमी है। BC पर स्थित एक बिन्दु D, कोण A को इस प्रकार समद्विभाजित करता है कि BD = 6 सेमी तथा DC = 7.5 सेमी है, तो CA की लंबाई ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
ΔABC में, AB = 8 सेमी
BC को बिन्दु D पर समद्विभाजित करने के लिए ∠A को आंतरिक रूप से समद्विभाजित किया जाता है।
AB = 8 सेमी, BD = 6 सेमी और DC = 7.5 सेमी
प्रयुक्त अवधारणा:
एक त्रिभुज में, एक कोण का कोण समद्विभाजक कोण के विपरीत भुजा को शेष दो भुजाओं के अनुपात में विभाजित करता है।
\(\frac{AB}{AC} = \frac{BD}{DC}\)
गणना:
AB = 8 सेमी है और BC को बिन्दु D पर समद्विभाजित करने के लिए ∠A को आंतरिक रूप से समद्विभाजित किया जाता है,
⇒ AB/AC = BD/CD
⇒ 8/AC = 6/7.5
∴ AC = 10 सेमी
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